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14374728 = 2332434643
BaseRepresentation
bin110110110101…
…011101001000
31000001022102100
4312311131020
512134442403
61232033400
7233116554
oct66653510
930038370
1014374728
118128a45
124992860
132c93b74
141ca2864
1513de2a3
hexdb5748

14374728 has 48 divisors (see below), whose sum is σ = 39845520. Its totient is φ = 4679136.

The previous prime is 14374709. The next prime is 14374733. The reversal of 14374728 is 82747341.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14374692 and 14374701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (830115).

Almost surely, 214374728 is an apocalyptic number.

14374728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14374728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922760).

14374728 is an abundant number, since it is smaller than the sum of its proper divisors (25470792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14374728 is a wasteful number, since it uses less digits than its factorization.

14374728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4691 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 14374728 is about 3791.4018515583. The cubic root of 14374728 is about 243.1456729557.

The spelling of 14374728 in words is "fourteen million, three hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4643 9286 13929 18572 27858 37144 41787 55716 83574 111432 167148 199649 334296 399298 598947 798596 1197894 1597192 1796841 2395788 3593682 4791576 7187364 14374728